On simple groups which are homomorphic images of multiplicative subgroups of simple algebras of degree 2
ジャーナル
フリー
1983 年 35 巻 3 号 p. 563-569
詳細
- Published: 1983 Received: 1982/07/12 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) J.L. Alperin, R. Brauer and D. Gorenstein, Finite simple groups of 2-rank two, Scripta Math., 29 (1973), 191-214.
2) S. Amitsur, Finite subgroups of division rings, Trans. Amer. Math. Soc., 80 (1955), 361-386.
3) C. Cato, The orders of the known simple groups as far as one trillion, Math. Comp., 31 (1977), 574-577.
4) L. Dornhoff, Group representation theory, Part A, Marcel Dekker, New York, 1971.
5) W. Feit, Characters of finite groups, Benjamin, New York, 1967.
6) D. Garbe and J.L. Mennicke, Some remarks on the Mathieu groups, Canad. Math. Bull., 7 (1964), 201-212.
7) D. Gorenstein and K. Harada, Finite groups whose 2-subgroups are generated by at most 4 elements, Mem. Amer. Math. Soc., 147, 1974.
8) R. Gow, Schur indices of some groups of Lie type, J. Algebra, 42 (1976), 102-120.
9) R. Griess, Schur multipliers of finite simple groups of Lie type, Trans. Amer. Math. Soc., 183 (1973), 355-421.
10) M. Hikari, Multiplicative p-subgroups of simple algebras, Osaka J. Math., 10 (1973), 369-374.
11) M. Hikari, On finite multiplicative subgroups of simple algebras of degree 2, J. Math. Soc. Japan, 28 (1976), 737-748.
12) B. Huppert, Endliche Gruppen I, Springer, Berlin, 1976.
13) G.J. Janusz, Simple components of QSL (2, q)), Comm. Algebra, 1 (1974), 1-22.
14) A.R. MacWilliams, On 2-groups with no normal abelian subgroups of rank 3, and their occurrence as Sylow 2-subgroups of finite simple groups, Trans. Amer. Math. Soc., 150 (1970), 345-408.
15) R. Steinberg, Lectures on Chevalley groups, Yale University Notes, New Haven, Conn., 1967.
Right : [1] J. L. Alperin, R. Brauer and D. Gorenstein, Finite simple groups of 2-rank two, Scripta Math., 29 (1973), 191-214.
[2] S. Amitsur, Finite subgroups of division rings, Trans. Amer. Math. Soc., 80 (1955), 361-386.
[3] C. Cato, The orders of the known simple groups as far as one trillion, Math. Comp., 31 (1977), 574-577.
[4] L. Dornhoff, Group representation theory, Part A, Marcel Dekker, New York, 1971.
[5] W. Feit, Characters of finite groups, Benjamin, New York, 1967.
[6] D. Garbe and J. L. Mennicke, Some remarks on the Mathieu groups, Canad. Math. Bull., 7 (1964), 201-212.
[7] D. Gorenstein and K. Harada, Finite groups whose 2-subgroups are generated by at most 4 elements, Mem. Amer. Math. Soc., 147, 1974.
[8] R. Gow, Schur indices of some groups of Lie type, J. Algebra, 42 (1976), 102-120.
[9] R. Griess, Schur multipliers of finite simple groups of Lie type, Trans. Amer. Math. Soc., 183 (1973), 355-421.
[10] M. Hikari, Multiplicative p-subgroups of simple algebras, Osaka J. Math., 10 (1973), 369-374.
[11] M. Hikari, On finite multiplicative subgroups of simple algebras of degree 2, J. Math. Soc. Japan, 28 (1976), 737-748.
[12] B. Huppert, Endliche Gruppen I, Springer, Berlin, 1976.
[13] G. J. Janusz, Simple components of Q[SL (2, q)], Comm. Algebra, 1 (1974), 1-22.
[14] A. R. MacWilliams, On 2-groups with no normal abelian subgroups of rank 3, and their occurrence as Sylow 2-subgroups of finite simple groups, Trans. Amer. Math. Soc., 150 (1970), 345-408.
[15] R. Steinberg, Lectures on Chevalley groups, Yale University Notes, New Haven, Conn., 1967.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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